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Finding the Fourth Proportional to 992.63, 1,489.17 and 684.61

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Solution

The fourth proportional to 992.63, 1,489.17 and 684.61 is: 1,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.63 : 1,489.17 = 684.61 : x
  2. Step 2: Convert to fraction form
    992.63/1,489.17 = 684.61/x
  3. Step 3: Cross multiply
    992.63x = 1,489.17 × 684.61
  4. Step 4: Simplify right side
    992.63x = 1,019,500.67
  5. Step 5: Solve for x
    x = 1,019,500.67/992.63
  6. Step 6: Final answer
    x = 1,027.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.